242142241242 has 64 divisors (see below), whose sum is σ = 535900520448. Its totient is φ = 72322824000.

The previous prime is 242142241217. The next prime is 242142241261.

242142241242 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32381208 + ... + 32388684.

It is an arithmetic number, because the mean of its divisors is an integer number (8373445632).

Almost surely, 2^242142241242 is an apocalyptic number.

242142241242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242142241242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267950260224).

242142241242 is an abundant number, since it is smaller than the sum of its proper divisors (293758279206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242142241242 is a wasteful number, since it uses less digits than its factorization.

242142241242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475.

The product of its digits is 16384, while the sum is 30.

It can be divided in two parts, 242142 and 241242, that added together give a palindrome (483384).

The spelling of 242142241242 in words is "two hundred forty-two billion, one hundred forty-two million, two hundred forty-one thousand, two hundred forty-two".